1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
icang [17]
3 years ago
11

Solve the system of equations 2x+2y=6z=8 5x+6y+5z=3 5x+6y+3z=5

Mathematics
1 answer:
Alborosie3 years ago
4 0

Answer:

x=34,y=-27andz=-1

Step-by-step explanation:

Given:

2x+2y+6z=8  equation:1

5x+6y+5z=3     equation:2

5x+6y+3z=5     equation:3

We have to find the value of x,y and z

Eliminating two variables to find the value of third variable

Subtracting  equation:2 from equation:3

         

5x+6y+3z-(5x+6y+5z)=5-3

5x+6y+3z-5x-6y-5z=2\\-2z=2\\z=-1

Solving the equation:1 for 'x'

2x+2y+6z=8

2x=8-2y-6z\\2x=8-2y-6(-1)\\2x=8-2y+6\\2x=14-2y\\x=7-y

Putting x and z in equation 2

5(7-y)+6y+5(-1)=3\\35-5y+6y-5=3\\y+30=3\\y=3-30\\y=-27

Putting the value of 'y' and 'z' in equation:2 to find the value of 'x'

5x+6(-27)+5(-1)=3\\5x-162-5=3\\5x-167=3\\5x=3+167\\5x=170\\x=\frac{170}{5}\\ x=34

The values of x,y and z are

x=34,y=-27andz=-1

You might be interested in
Juan is 1 1/4 feet shorter than maria. if maria is 1/3 foot taller than luis. if luis is 62 inches tall, how tall are maria and
Ghella [55]
J = m - 1 1/4 (ft).......j = m - 15 inches...because 1 1/4 ft = 15 inches
m = L + 1/3 (ft).......m = L + 4 inches....because 1/3 ft = 4 inches
L = 62 inches

m = L + 4
m = 62 + 4
m = 66 inches or 5.5 ft <==Maria

j = m - 15
j = 66 - 15
j = 51 inches or 4.25 ft <== Juan

7 0
3 years ago
How is estimating decimals when adding helpful?
Hoochie [10]
Its helpful because they both work on the same team in a way i cant explain
4 0
3 years ago
The line passing the points (-4,5) and (x,-13) is parallel to a line that has a slope of 9/2 what is the value of x ?
Sergeeva-Olga [200]

Answer:

x = - 8

Step-by-step explanation:

Calculate m using the slope formula and equate, since parallel lines have equal slopes.

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 4, 5) and (x₂, y₂ ) = (x, - 13)

m = \frac{-13-5}{x+4} = \frac{-18}{x+4} and equating

\frac{-18}{x+4} = \frac{9}{2} ( cross- multiply )

9(x + 4) = - 36 ( divide both sides by 9 )

x + 4 = - 4 ( subtract 4 from both sides )

x = - 8

5 0
3 years ago
The regular price of a child's entry ticket to a water park is $6 less than that for an adult's. The park offers half off all en
Anestetic [448]
The price is just 50 dollars
7 0
3 years ago
PLEASE PLEASE PLEASE HELP
Eduardwww [97]

first make two triangles using M , so there iwll be 90-45-45, and 30-60-90 then use the side rules of those special triangles

6 0
3 years ago
Other questions:
  • Which, if any, of
    14·1 answer
  • Explain how to solve 4x 2- 5x = 16 by completing the square. What are the solutions?
    10·1 answer
  • Find the Value of X. <br> 3<br> 8<br> 4<br> 6
    5·1 answer
  • Consider the following pair of equations:
    11·2 answers
  • A linear function has a slope of -g and a y-intercept
    9·2 answers
  • On a trip to Spain,Kelly brought a piece of jewelry that cost $50.75.She paid for it with her credit card, which charges a forei
    7·1 answer
  • Which expression is equivalent to…
    6·1 answer
  • Help me please !!!!!!!!!​
    9·1 answer
  • Pls HELPPP !<br><br> solve the systems of equations of x+2y=21 and -2x-y=-12
    13·1 answer
  • Name all possible transversals of lines m and n in the picture below​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!